I do a lot of 1D NIntegrates over half-infinite domains [0,Infinity).
Sometimes you can simply put Infinity as an upper
bound and Mathematica will return an answer. In that
case, I don't have a problem.
But, sometimes, this fails or takes too
long, and I am forced to truncate the integral.
Let's assume my integral converges, is not zero, and my
integrand is relatively smooth with a few derivatives, at least.
Suppose each finite truncated integral can be successfully computed to
the same fixed PrecisionGoal.
Given that, my questions:
Is it possible to extrapolate these truncated results to a
limit with a known precision? If so, how, and how does that
precision relate to the fixed PrecisionGoal above?
Thanks,
alan